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Finding the Fourth Proportional to 435.68, 601.12 and 258.59

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Solution

The fourth proportional to 435.68, 601.12 and 258.59 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.68 : 601.12 = 258.59 : x
  2. Step 2: Convert to fraction form
    435.68/601.12 = 258.59/x
  3. Step 3: Cross multiply
    435.68x = 601.12 × 258.59
  4. Step 4: Simplify right side
    435.68x = 155,445.45
  5. Step 5: Solve for x
    x = 155,445.45/435.68
  6. Step 6: Final answer
    x = 356.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.